We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.

Bellettini, G., Paolini, M., Venturini, S. (1996). Some results on surface measures in Calculus of Variations. ANNALI DI MATEMATICA PURA ED APPLICATA, CLXX, 329-357 [10.1007/BF01758994].

Some results on surface measures in Calculus of Variations

BELLETTINI, GIOVANNI;
1996-01-01

Abstract

We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.
1996
Bellettini, G., Paolini, M., Venturini, S. (1996). Some results on surface measures in Calculus of Variations. ANNALI DI MATEMATICA PURA ED APPLICATA, CLXX, 329-357 [10.1007/BF01758994].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1017395